{
 "cells": [
  {
   "cell_type": "raw",
   "metadata": {
    "raw_mimetype": "text/restructuredtext"
   },
   "source": [
    ".. _nb_ctaea:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## C-TAEA\n",
    "\n",
    "\n",
    "This algorithm is implemented based on <cite data-cite=\"ctaea\"></cite> and targets constrained multi/many-objective problems. The algorithm is based on [Reference Directions](../misc/reference_directions.ipynb) which need to be provided when initializing the algorithm object.\n",
    "\n",
    "It uses a two population approach to promote diversity."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "code": "algorithms/usage_moead.py"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      ],
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from pymoo.algorithms.ctaea import CTAEA\n",
    "from pymoo.factory import get_problem, get_visualization, get_reference_directions\n",
    "from pymoo.optimize import minimize\n",
    "\n",
    "problem = get_problem(\"c3dtlz4\")\n",
    "\n",
    "algorithm = CTAEA(\n",
    "    get_reference_directions(\"das-dennis\", 3, n_partitions=12),\n",
    "    seed=1\n",
    ")\n",
    "\n",
    "res = minimize(problem, algorithm, termination=('n_gen', 400))\n",
    "\n",
    "get_visualization(\"scatter\").add(res.F).show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### API"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {
    "raw_mimetype": "text/restructuredtext"
   },
   "source": [
    ".. autoclass:: pymoo.algorithms.ctaea.CTAEA\n",
    "    :noindex:"
   ]
  }
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